English

Status of Complex Langevin

High Energy Physics - Lattice 2018-04-18 v3

Abstract

I review the status of the Complex Langevin method, which was invented to make simulations of models with complex action feasible. I discuss the mathematical justification of the procedure, as well as its limitations and open questions. Various pragmatic measures for dealing with the existing problems are described. Finally I report on the progress in the application of the method to QCD, with the goal of determining the phase diagram of QCD as a function of temperature and baryonic chemical potential.

Keywords

Cite

@article{arxiv.1708.08254,
  title  = {Status of Complex Langevin},
  author = {Erhard Seiler},
  journal= {arXiv preprint arXiv:1708.08254},
  year   = {2018}
}

Comments

Plenary talk given at Lattice 2017, Granada; 21 pages, 14 figures; a reference added, some more typos corrected

R2 v1 2026-06-22T21:24:59.622Z